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arXiv · 1711.10562

Projective cases for the restriction of the oscillator representation to dual pairs of type I

Sabine J. Lang
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Abstract

For all the irreducible dual pairs of type I $(G,G')$, we analyze the restriction of the oscillator representation as a $(\mathfrak{g}', K')$-module, when $G'$ is the smaller group. For all $(G,G')$ in the stable range, as well as one more case, the modules obtained are projective. We use the duality correspondence introduced by Howe to analyze these restrictions.

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BibTeXRIS

Sabine J. Lang. 2017-11-28. Projective cases for the restriction of the oscillator representation to dual pairs of type I. https://doi.org/10.2140/pjm.2020.308.393

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